Properties of Algebra

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What is the Associative Property of Addition?

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The Associative Property of Addition states that the way in which numbers are grouped when adding does not change the sum. For example, (a + b) + c = a + (b + c).

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What is the Associative Property of Multiplication?

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The Associative Property of Multiplication states that the way in which numbers are grouped when multiplying does not change the product. For example, (a × b) × c = a × (b × c).

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What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, a + b = b + a.

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What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, a × b = b × a.

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What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

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What is the Identity Property of Addition?

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The Identity Property of Addition states that the sum of any number and zero is that number. For example, a + 0 = a.

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What is the Identity Property of Multiplication?

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The Identity Property of Multiplication states that the product of any number and one is that number. For example, a × 1 = a.

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What is the Zero Property of Multiplication?

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The Zero Property of Multiplication states that the product of any number and zero is zero. For example, a × 0 = 0.

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What is the Reflexive Property of Equality?

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The Reflexive Property of Equality states that any quantity is equal to itself. For example, a = a.

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What is the Symmetric Property of Equality?

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The Symmetric Property of Equality states that if one quantity equals another, then the second quantity equals the first. For example, if a = b, then b = a.